Search a number
-
+
10085860 = 2251014993
BaseRepresentation
bin100110011110…
…010111100100
3200222102012101
4212132113210
510040221420
61000101444
7151504561
oct46362744
920872171
1010085860
115769724
123464884
132121985
1414a7868
15d4360a
hex99e5e4

10085860 has 24 divisors (see below), whose sum is σ = 21394296. Its totient is φ = 3993600.

The previous prime is 10085857. The next prime is 10085893. The reversal of 10085860 is 6858001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 7441984 = 1626^2 + 2728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477 + ... + 4516.

It is an arithmetic number, because the mean of its divisors is an integer number (891429).

Almost surely, 210085860 is an apocalyptic number.

10085860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10085860 is an abundant number, since it is smaller than the sum of its proper divisors (11308436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10085860 is a wasteful number, since it uses less digits than its factorization.

10085860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 10085860 is about 3175.8243024450. The cubic root of 10085860 is about 216.0583118743.

The spelling of 10085860 in words is "ten million, eighty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 4993 9986 19972 24965 49930 99860 504293 1008586 2017172 2521465 5042930 10085860